Question

solve for x and graph the solution on the number line below.
-13 > 2x - 5 or 2x - 5 ≥ 17
answer attempt 1 out of 2
inequality notation:

Explanation:

Step1: Solve first inequality, add 5 to both sides

$-13 + 5 > 2x - 5 + 5$
$\implies -8 > 2x$

Step2: Isolate x, divide by 2

$\frac{-8}{2} > \frac{2x}{2}$
$\implies -4 > x$ or $x < -4$

Step3: Solve second inequality, add 5 to both sides

$2x - 5 + 5 \geq 17 + 5$
$\implies 2x \geq 22$

Step4: Isolate x, divide by 2

$\frac{2x}{2} \geq \frac{22}{2}$
$\implies x \geq 11$

Answer:

Inequality Notation: $x < -4$ or $x \geq 11$

For the number line graph:

• Draw an open circle at $-4$ and shade all values to the left of $-4$.
• Draw a closed circle at $11$ and shade all values to the right of $11$.